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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory object of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 13th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[principal 2-bundle]] in a new Properties-section the classification results by Baez-Stevenson, Stevenson-Roberts (for the topological case) and Nikolaus-Waldorf (for the smooth case).

   added to principal 2-bundle in a new Properties-section the classification results by Baez-Stevenson, Stevenson-Roberts (for the topological case) and Nikolaus-Waldorf (for the smooth case).

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 13th 2011
   • (edited Jun 13th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexat [[smooth infinity-groupoid]] I have provided more details for the proof that for $G$ a smooth 2-group $Smooth \infty Grpd(X, \mathbf{B}G)$ is the groupoid of smooth $G$-principal 2-bundles, by referring to the above mentioned classifying results: now in the section [here](http://ncatlab.org/nlab/show/smooth+infinity-groupoid+--+structures#SmoothPrincipal1And2Bundles)

   at smooth infinity-groupoid I have provided more details for the proof that for $G$ a smooth 2-group $Smooth \infty Grpd(X, \mathbf{B}G)$ is the groupoid of smooth $G$-principal 2-bundles, by referring to the above mentioned classifying results: now in the section here

3. • CommentRowNumber3.
   • CommentAuthorZhen Huan
   • CommentTimeAug 4th 2020
   • PermaLink
   Author: Zhen Huan
   Format: TextGreat! Thanks.

   Great! Thanks.
4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data to: * [[Thomas Nikolaus]], [[Konrad Waldorf]], _Four Equivalent Versions of Non-Abelian Gerbes_, Pacific J. Math., 264-2 (2013), 355-420 ([arXiv:1103.4815](http://arxiv.org/abs/1103.4815), [DOI: 10.2140/pjm.2013.264.355](https://msp.org/pjm/2013/264-2/p04.xhtml)) <a href="https://ncatlab.org/nlab/revision/diff/principal+2-bundle/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/principal+2-bundle/31">v31</a>, <a href="https://ncatlab.org/nlab/show/principal+2-bundle">current</a>

   added publication data to:

   • Thomas Nikolaus, Konrad Waldorf, Four Equivalent Versions of Non-Abelian Gerbes, Pacific J. Math., 264-2 (2013), 355-420 (arXiv:1103.4815, DOI: 10.2140/pjm.2013.264.355)

   diff, v31, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data to: * [[J. F, Jardine]], Z. Luo, _Higher principal bundles_, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 140, Issue 2 March 2006 , pp. 221-243 ([pdf](http://www.math.uiuc.edu/K-theory/0681/cocycles6.pdf), [doi:10.1017/S0305004105008911](https://doi.org/10.1017/S0305004105008911)) <a href="https://ncatlab.org/nlab/revision/diff/principal+2-bundle/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/principal+2-bundle/31">v31</a>, <a href="https://ncatlab.org/nlab/show/principal+2-bundle">current</a>

   added publication data to:

   • J. F, Jardine, Z. Luo, Higher principal bundles, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 140, Issue 2 March 2006 , pp. 221-243 (pdf, doi:10.1017/S0305004105008911)

   diff, v31, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeSep 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded author link and DOI to: * [[Paul Glenn]], _Realization of cohomology classes in arbitrary exact categories_, J. Pure Appl. Algebra 25, 1982, no. 1, 33- 105 (<a href="https://doi.org/10.1016/0022-4049(82)90094-9">doi:10.1016/0022-4049(82)90094-9</a>) <a href="https://ncatlab.org/nlab/revision/diff/principal+2-bundle/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/principal+2-bundle/31">v31</a>, <a href="https://ncatlab.org/nlab/show/principal+2-bundle">current</a>

   added author link and DOI to:

   • Paul Glenn, Realization of cohomology classes in arbitrary exact categories, J. Pure Appl. Algebra 25, 1982, no. 1, 33- 105 (doi:10.1016/0022-4049(82)90094-9)

   diff, v31, current